GCD of 665, 609, 122, 635 Calculator

Given Input numbers are 665, 609, 122, 635

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 665

List of positive integer divisors of 665 that divides 665 without a remainder.

1, 5, 7, 19, 35, 95, 133, 665

Divisors of 609

List of positive integer divisors of 609 that divides 609 without a remainder.

1, 3, 7, 21, 29, 87, 203, 609

Divisors of 122

List of positive integer divisors of 122 that divides 122 without a remainder.

1, 2, 61, 122

Divisors of 635

List of positive integer divisors of 635 that divides 635 without a remainder.

1, 5, 127, 635

Greatest Common Divisior

We found the divisors of 665, 609, 122, 635 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 665, 609, 122, 635 is 1.

Therefore, GCD of numbers 665, 609, 122, 635 is 1

Given Input Data is 665, 609, 122, 635

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 665 is 5 x 7 x 19

Prime Factorization of 609 is 3 x 7 x 29

Prime Factorization of 122 is 2 x 61

Prime Factorization of 635 is 5 x 127

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(665, 609) = 57855

GCD(665, 609) = ( 665 x 609 ) / 57855

GCD(665, 609) = 404985 / 57855

GCD(665, 609) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 122

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(7, 122) = 854

GCD(7, 122) = ( 7 x 122 ) / 854

GCD(7, 122) = 854 / 854

GCD(7, 122) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 635

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 635) = 635

GCD(1, 635) = ( 1 x 635 ) / 635

GCD(1, 635) = 635 / 635

GCD(1, 635) = 1

GCD of 665, 609, 122, 635 is 1

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1. What is the GCD of 665, 609, 122, 635?

GCD of 665, 609, 122, 635 is 1

2. Where do I get the detailed procedure to find GCD of 665, 609, 122, 635?

You can find a detailed procedure to find GCD of 665, 609, 122, 635 on our page.

3. How to find GCD of 665, 609, 122, 635 on a calculator?

You can find the GCD of 665, 609, 122, 635 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.